Manual of plane trigonometry, by J.A. Galbraith and S. Haughton

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Page ii - RULE. The characteristic of the logarithm of a number greater than unity, is one less than the number of integral figures in the given number.
Page iv - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Page 5 - ... to be divided into 60 equal parts, called minutes; and each minute into 60 equal parts, called seconds. Degrees, minutes, and seconds, are designated respectively, by the characters ' ". For example, ten degrees, eighteen minutes, and fourteen seconds, would be written 10 18
Page 10 - The sine of an angle is equal to the sine of its supplement. The sine rule Consider fig.
Page iv - The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page ii - The Characteristic of the logarithm of a number less than unity, and reduced to the decimal form, is negative and one greater than the number of cyphers following the decimal point.
Page xi - ... will be the logarithm of the quotient. 3. Find from the Tables the corresponding number. This will be the required quotient.
Page 2 - S3". 6. Besides the above-mentioned unit of angular measure, viz. the 90th part of a right angle, which is always used in practical applications, there is another, viz. the angle at the centre of a circle which is subtended by an arc equal to the radius of the circle, which is more convenient in analytical investigations.
Page 10 - We have, then, that the sine of an angle is equal to the cosine of its complement, and conversely.
Page 29 - Thus: sin (a + a) = sin a cos a + cos a sin a or: sin 2a = 2 sin a cos a...

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